55329800 has 48 divisors (see below), whose sum is σ = 132136260. Its totient is φ = 21530880.

The previous prime is 55329797. The next prime is 55329851. The reversal of 55329800 is 892355.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46485124 + 8844676 = 6818^2 + 2974^2 .

It is a super-2 number, since 2×55329800² = 6122773536080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3662 + ... + 11138.

Almost surely, 2^55329800 is an apocalyptic number.

55329800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66068130).

55329800 is an abundant number, since it is smaller than the sum of its proper divisors (76806460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55329800 is a wasteful number, since it uses less digits than its factorization.

55329800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 55329800 is about 7438.4003656700. The cubic root of 55329800 is about 381.0538613079.

The spelling of 55329800 in words is "fifty-five million, three hundred twenty-nine thousand, eight hundred".